Numerical solution of the nonlocal boundary value problem for elliptic equations

Allaberen Ashyralyev, Ayman Hamad

2018

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DOI 10.31489/2018m3/99-107

Data confidence 70 medium

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Abstract

Numerical solution of the nonlocal boundary value problem for elliptic equationsIn the present paper a second order of accuracy two-step difference scheme for an approximate solution of the nonlocal boundary value problem for the elliptic differential equation an arbitrary Banach space E with the strongly positiveoperator A is presented.The stability of this difference scheme is established.In application, the stability estimates for the solution of the difference scheme for the elliptic differential problem with the Neumann boundary condition are obtained.Additionally, the illustrative numerical result is provided.